Question
In: Physics
A particle with mass m begins its motion from the state of rest under the influence...
A particle with mass m begins its motion from the state of rest under the influence of an oscillating force F(t) = F0 sin(γ t). Find the particle’s velocity and the distance traveled at time t1, when the force reaches its first maximum, and at time t2, when the force becomes equal to zero.
Solutions
Expert Solution
When a particle is oscillating under the influence of
oscillating force 
, equation of motion of particle is 
Integrating above equation, 
Velocity of particle is
Integrating above equation, 
Diplacement of the particle is 
At time 
, force reaches its maximum,
,
At time 
, force is equal to zero,
,
At time
,
Velocity of particle is 
Distance travelled is 
At time
,
Velocity of particle is 
Distance travelled is 
genius_generous answered 2 years agoRelated Solutions
A particle of mass m moves under the influence of gravity g on the inner surface...
A particle of mass m moves under the influence of gravity g on
the inner surface of a smooth cone of half-angle α. The axis of the
cone is vertical, with its vertex downward. (a) Find the
equation(s) of constraint of the system. (b) Find Lagrange’s
equations of motion using the method of undetermined multipliers.
(c) Determine the condition on the angular velocity ω such that the
particle can describe a horizontal circle at a height h above the
vertex.
(A particle that vibrates under the influence of a simple harmonic motion) If the total energy...
(A
particle that vibrates under the influence of a simple harmonic
motion) If the total energy is greater than the effort - solve the
Schrödinger equation using polynomial Hermit
A block of mass m begins at rest at the top of a ramp at elevation...
A block of mass m begins at rest at the top of a ramp at
elevation h with whatever PE is associated with that height. The
block slides down the ramp over a distance d until it reaches the
bottom of the ramp. How much of its original total energy (in J)
survives as KE when it reaches the ground? (In other words, the
acceleration is not zero like it was in lab and friction does not
remove 100% of...
A particle of charge q and mass m is accelerated from rest through a potential difference...
A particle of charge q and mass m is accelerated from rest
through a potential difference V, after which it encounters a
uniform magnetic field B perpendicular to its velocity v. If the
particle moves in a plane perpendicular to B,
(a) Find an expression for the radius of its circular path in
terms of q, V and B.
(b) If the particle is an electron, what must the potential
difference be so it describes a circular path of radius...
Falling Drop A raindrop of mass mo, starting from rest, falls under the influence of...
4. Falling Drop A raindrop of mass \(m_{0}\), starting from rest, falls under the influence of gravity. Assume that as the raindrop travels through the clouds, it gains mass at a rate proportional to the momentum of the raindrop, \(\frac{d m_{r}}{d t}=k m_{r} v_{r}\), where \(m_{r}\) is the instantaneous mass of the raindrop, \(v_{r}\) is the instantaneous velocity of the raindrop, and \(k\) is a constant with unit \(\left[m^{-1}\right] .\) You may neglect air resistance.(a) Derive a differential equation for the...
4. Hamiltonian equations of motion A particle of mass m moving in two dimensions has the...
4. Hamiltonian equations of motion A particle of mass m moving
in two dimensions has the Hamiltonian H(x, y, px, py) = (px − cy)
^2 + (py + cx)^ 2 /2m where c is a constant. Find the equations of
motion for x, y, px, py. Use these to write the equations of motion
for the complex variables ζ = x + iy and ρ = px + ipy. Eliminate ρ
to show that m¨ζ − 2ic ˙ζ =...
1. A particle starts from rest, increasing its speed evenly, traveling a distance of 10.0 (m)...
1. A particle starts from rest, increasing its speed evenly,
traveling a distance of 10.0 (m) in a time of 1.40 (s). From that
moment it is kept at constant speed for 1.00 (s). Then its speed
decreases to rest in a time of 2.80 (s). Calculate the total
displacement of the particle.
STEP BY STEP PLEASE
A material particle with mass M moves under the gravitational effect of the earth. Solve the...
A material particle with mass M moves under the gravitational
effect of the earth. Solve the Hamilton-jacobi equation of the
particle.
A material particle with mass M moves under the gravitational effect of the earth. Solve the...
A material particle with mass M moves under the gravitational
effect of the earth. Solve the Hamilton-jacobi equation of the
particle.
write me all steps ,please. A particle of mass m is in the ground state of...
write me all steps ,please.
A particle of mass m is in the ground state of an
infinite potential energy well of width L. The energy of
the particle is 2.0 eV
(a) How much energy must be added to
the particle to cause it to jump to the first excited state?
[ show your solution]
(1) 2.0
eV
(2) 4.0 eV
(3)
6.0 eV
(4)
8.0 eV
(b) Suppose the particle is in the
second excited state (n =...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- JAVA Write a test program that prompts the user to enter a series of integers and...
- (2) Cite an example on how organizations like Google, Facebook, Youtube etc collect data for image...
- The legal landscape is perpetually changing. Psychologists must remain abreast of these changes to avoid potentially...
- We are evaluating a project that costs $1.68 million, has a six-year life, and has no...
- In C++ Having call-by-reference allows one to use storeback parameters, i.e., parameters whose values are transmitted...
- You must evaluate a proposal to buy a new milling machine. The base price is $175,000,...
- “Triangle Guessing” game in Python The program accepts the lengths of three (3) sides of a...
ADVERTISEMENT